TSTP Solution File: ARI689_1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI689_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:41:46 EDT 2023
% Result : Theorem 3.59s 1.16s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : ARI689_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 18:54:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running TFA theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.59/1.16 % SZS status Started for theBenchmark.p
% 3.59/1.16 % SZS status Theorem for theBenchmark.p
% 3.59/1.16
% 3.59/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.59/1.16
% 3.59/1.16 ------ iProver source info
% 3.59/1.16
% 3.59/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.59/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.59/1.16 git: non_committed_changes: false
% 3.59/1.16 git: last_make_outside_of_git: false
% 3.59/1.16
% 3.59/1.16 ------ Parsing...
% 3.59/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.59/1.16
% 3.59/1.16 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.59/1.16
% 3.59/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.59/1.16
% 3.59/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.59/1.16 ------ Proving...
% 3.59/1.16 ------ Problem Properties
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16 clauses 27
% 3.59/1.16 conjectures 0
% 3.59/1.16 EPR 10
% 3.59/1.16 Horn 24
% 3.59/1.16 unary 22
% 3.59/1.16 binary 2
% 3.59/1.16 lits 35
% 3.59/1.16 lits eq 18
% 3.59/1.16 fd_pure 0
% 3.59/1.16 fd_pseudo 0
% 3.59/1.16 fd_cond 0
% 3.59/1.16 fd_pseudo_cond 2
% 3.59/1.16 AC symbols 2
% 3.59/1.16
% 3.59/1.16 ------ Input Options Time Limit: Unbounded
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16 ------
% 3.59/1.16 Current options:
% 3.59/1.16 ------
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16 ------ Proving...
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16 % SZS status Theorem for theBenchmark.p
% 3.59/1.16
% 3.59/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 3.59/1.16
% 3.59/1.16 tff(f1,axiom,(
% 3.59/1.16 $product(98164184,y) = a),
% 3.59/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)).
% 3.59/1.16
% 3.59/1.16 tff(f2,axiom,(
% 3.59/1.16 $product(6472,x) = b),
% 3.59/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2)).
% 3.59/1.16
% 3.59/1.16 tff(f3,conjecture,(
% 3.59/1.16 $sum($product(1,$product($product(y,x),b)),$product(-1,$sum($sum($product(166,$product($product(x,b),a)),$product(2427,$product($product(x,x),a))),$product(-2523496,$product($product(y,b),b))))) = 0),
% 3.59/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.59/1.16
% 3.59/1.16 tff(f4,negated_conjecture,(
% 3.59/1.16 ~$sum($product(1,$product($product(y,x),b)),$product(-1,$sum($sum($product(166,$product($product(x,b),a)),$product(2427,$product($product(x,x),a))),$product(-2523496,$product($product(y,b),b))))) = 0),
% 3.59/1.16 inference(negated_conjecture,[],[f3])).
% 3.59/1.16
% 3.59/1.16 tff(f5,plain,(
% 3.59/1.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.59/1.16 introduced(theory_axiom_138,[])).
% 3.59/1.16
% 3.59/1.16 tff(f6,plain,(
% 3.59/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.59/1.16 introduced(theory_axiom_139,[])).
% 3.59/1.16
% 3.59/1.16 tff(f16,plain,(
% 3.59/1.16 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.59/1.16 introduced(theory_axiom_138,[])).
% 3.59/1.16
% 3.59/1.16 tff(f17,plain,(
% 3.59/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.59/1.16 introduced(theory_axiom_139,[])).
% 3.59/1.16
% 3.59/1.16 tff(f18,plain,(
% 3.59/1.16 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 3.59/1.16 introduced(theory_axiom_140,[])).
% 3.59/1.16
% 3.59/1.16 tff(f20,plain,(
% 3.59/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.59/1.16 introduced(theory_axiom_153,[])).
% 3.59/1.16
% 3.59/1.16 tff(f23,plain,(
% 3.59/1.16 $sum($product(1,$product($product(y,x),b)),$product(-1,$sum($sum($product(166,$product($product(x,b),a)),$product(2427,$product($product(x,x),a))),$product(-2523496,$product($product(y,b),b))))) != 0),
% 3.59/1.16 inference(flattening,[],[f4])).
% 3.59/1.16
% 3.59/1.16 tff(f24,plain,(
% 3.59/1.16 $product(98164184,y) = a),
% 3.59/1.16 inference(cnf_transformation,[],[f1])).
% 3.59/1.16
% 3.59/1.16 tff(f25,plain,(
% 3.59/1.16 $product(6472,x) = b),
% 3.59/1.16 inference(cnf_transformation,[],[f2])).
% 3.59/1.16
% 3.59/1.16 tff(f26,plain,(
% 3.59/1.16 $sum($product(1,$product($product(y,x),b)),$product(-1,$sum($sum($product(166,$product($product(x,b),a)),$product(2427,$product($product(x,x),a))),$product(-2523496,$product($product(y,b),b))))) != 0),
% 3.59/1.16 inference(cnf_transformation,[],[f23])).
% 3.59/1.16
% 3.59/1.16 cnf(c_51,plain,
% 3.59/1.16 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.59/1.16 inference(cnf_transformation,[],[f20])).
% 3.59/1.16
% 3.59/1.16 cnf(c_53,plain,
% 3.59/1.16 ($product_int(X0_3,1) = X0_3),
% 3.59/1.16 inference(cnf_transformation,[],[f18])).
% 3.59/1.16
% 3.59/1.16 cnf(c_54,plain,
% 3.59/1.16 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.59/1.16 inference(cnf_transformation,[],[f17])).
% 3.59/1.16
% 3.59/1.16 cnf(c_55,plain,
% 3.59/1.16 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.59/1.16 inference(cnf_transformation,[],[f16])).
% 3.59/1.16
% 3.59/1.16 cnf(c_65,plain,
% 3.59/1.16 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.59/1.16 inference(cnf_transformation,[],[f6])).
% 3.59/1.16
% 3.59/1.16 cnf(c_66,plain,
% 3.59/1.16 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.59/1.16 inference(cnf_transformation,[],[f5])).
% 3.59/1.16
% 3.59/1.16 cnf(c_67,plain,
% 3.59/1.16 ($product_int(98164184,y) = a),
% 3.59/1.16 inference(cnf_transformation,[],[f24])).
% 3.59/1.16
% 3.59/1.16 cnf(c_68,plain,
% 3.59/1.16 ($product_int(6472,x) = b),
% 3.59/1.16 inference(cnf_transformation,[],[f25])).
% 3.59/1.16
% 3.59/1.16 cnf(c_69,negated_conjecture,
% 3.59/1.16 ($sum_int($product_int(1,$product_int($product_int(y,x),b)),$product_int(-1,$sum_int($sum_int($product_int(166,$product_int($product_int(x,b),a)),$product_int(2427,$product_int($product_int(x,x),a))),$product_int(-2523496,$product_int($product_int(y,b),b))))) != 0),
% 3.59/1.16 inference(cnf_transformation,[],[f26])).
% 3.59/1.16
% 3.59/1.16 cnf(c_92,plain,
% 3.59/1.16 ($product_int(y,98164184) = a),
% 3.59/1.16 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.59/1.16
% 3.59/1.16 cnf(c_93,plain,
% 3.59/1.16 ($product_int(x,6472) = b),
% 3.59/1.16 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 3.59/1.16
% 3.59/1.16 cnf(c_94,negated_conjecture,
% 3.59/1.16 ($sum_int($product_int(x,$product_int(b,$product_int(1,y))),$product_int(-1,$sum_int($product_int(x,$product_int(x,$product_int(a,2427))),$sum_int($product_int(x,$product_int(b,$product_int(a,166))),$product_int(b,$product_int(b,$product_int(y,-2523496))))))) != 0),
% 3.59/1.16 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 3.59/1.16
% 3.59/1.16 cnf(c_239,plain,
% 3.59/1.16 ($sum_int($product_int(y,$product_int(x,b)),$sum_int($product_int(-2427,$product_int(a,$product_int(x,x))),$sum_int($product_int(-166,$product_int(a,$product_int(x,b))),$product_int(2523496,$product_int(y,$product_int(b,b)))))) != 0),
% 3.59/1.16 inference(smt_theory_normalisation,[status(thm)],[c_94])).
% 3.59/1.16
% 3.59/1.16 cnf(c_240,plain,
% 3.59/1.16 ($sum_int($product_int(x,$product_int(b,y)),$sum_int($product_int(x,$product_int(x,$product_int(a,-2427))),$sum_int($product_int(x,$product_int(b,$product_int(a,-166))),$product_int(b,$product_int(b,$product_int(y,2523496)))))) != 0),
% 3.59/1.16 inference(theory_normalisation,[status(thm)],[c_239,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_241,plain,
% 3.59/1.16 ($sum_int($product_int(x,$product_int(b,y)),$sum_int($product_int(b,$product_int(b,$product_int(y,2523496))),$product_int(x,$sum_int($product_int(x,$product_int(a,-2427)),$product_int(b,$product_int(a,-166)))))) != 0),
% 3.59/1.16 inference(ac_demodulation,[status(thm)],[c_240,c_51,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_242,plain,
% 3.59/1.16 ($sum_int($product_int(b,$product_int(b,$product_int(y,2523496))),$product_int(x,$sum_int($sum_int($product_int(x,$product_int(a,-2427)),$product_int(b,$product_int(a,-166))),$product_int(b,y)))) != 0),
% 3.59/1.16 inference(ac_demodulation,[status(thm)],[c_241,c_51,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_243,plain,
% 3.59/1.16 ($sum_int($product_int(b,$product_int(b,$product_int(y,2523496))),$product_int(x,$sum_int($product_int(x,$product_int(a,-2427)),$product_int(b,$sum_int($product_int(a,-166),y))))) != 0),
% 3.59/1.16 inference(ac_demodulation,[status(thm)],[c_242,c_51,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_244,plain,
% 3.59/1.16 ($sum_int($product_int(b,$product_int(b,$product_int(y,2523496))),$product_int(x,$sum_int($product_int(x,$product_int(a,-2427)),$product_int(b,$sum_int(y,$product_int(a,-166)))))) != 0),
% 3.59/1.16 inference(theory_normalisation,[status(thm)],[c_243,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_716,plain,
% 3.59/1.16 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_65,c_66])).
% 3.59/1.16
% 3.59/1.16 cnf(c_1084,plain,
% 3.59/1.16 ($product_int(y,$product_int(98164184,X0_3)) = $product_int(a,X0_3)),
% 3.59/1.16 inference(superposition,[status(thm)],[c_92,c_54])).
% 3.59/1.16
% 3.59/1.16 cnf(c_1085,plain,
% 3.59/1.16 ($product_int(x,$product_int(6472,X0_3)) = $product_int(b,X0_3)),
% 3.59/1.16 inference(superposition,[status(thm)],[c_93,c_54])).
% 3.59/1.16
% 3.59/1.16 cnf(c_1132,plain,
% 3.59/1.16 ($sum_int(X0_3,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(1,X1_3))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_53,c_51])).
% 3.59/1.16
% 3.59/1.16 cnf(c_1155,plain,
% 3.59/1.16 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X2_3,X1_3))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_51,c_66])).
% 3.59/1.16
% 3.59/1.16 cnf(c_6804,plain,
% 3.59/1.16 ($sum_int($product_int(a,X0_3),$product_int(y,X1_3)) = $product_int(y,$sum_int($product_int(98164184,X0_3),X1_3))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_1084,c_51])).
% 3.59/1.16
% 3.59/1.16 cnf(c_6807,plain,
% 3.59/1.16 ($sum_int($product_int(y,X0_3),$product_int(a,X1_3)) = $product_int(y,$sum_int(X0_3,$product_int(98164184,X1_3)))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_1084,c_51])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7166,plain,
% 3.59/1.16 ($sum_int($product_int(b,X0_3),$product_int(x,X1_3)) = $product_int(x,$sum_int($product_int(6472,X0_3),X1_3))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_1085,c_51])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7169,plain,
% 3.59/1.16 ($sum_int($product_int(x,X0_3),$product_int(b,X1_3)) = $product_int(x,$sum_int(X0_3,$product_int(6472,X1_3)))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_1085,c_51])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7178,plain,
% 3.59/1.16 ($product_int(x,$sum_int($product_int(6472,$product_int(b,$product_int(y,2523496))),$sum_int($product_int(x,$product_int(a,-2427)),$product_int(b,$sum_int(y,$product_int(a,-166)))))) != 0),
% 3.59/1.16 inference(demodulation,[status(thm)],[c_244,c_7166])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7179,plain,
% 3.59/1.16 ($product_int(x,$sum_int($product_int(x,$product_int(a,-2427)),$sum_int($product_int(b,$product_int(y,$product_int(6472,2523496))),$product_int(b,$sum_int(y,$product_int(a,-166)))))) != 0),
% 3.59/1.16 inference(theory_normalisation,
% 3.59/1.16 [status(thm)],
% 3.59/1.16 [c_7178,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7541,plain,
% 3.59/1.16 ($product_int(x,$sum_int($product_int(-2427,$product_int(a,x)),$sum_int($product_int(16332066112,$product_int(y,b)),$product_int(b,$sum_int(y,$product_int(-166,a)))))) != 0),
% 3.59/1.16 inference(smt_theory_normalisation,[status(thm)],[c_7179])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7542,plain,
% 3.59/1.16 ($product_int(x,$sum_int($product_int(x,$product_int(a,-2427)),$sum_int($product_int(b,$product_int(y,16332066112)),$product_int(b,$sum_int(y,$product_int(a,-166)))))) != 0),
% 3.59/1.16 inference(theory_normalisation,
% 3.59/1.16 [status(thm)],
% 3.59/1.16 [c_7541,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7543,plain,
% 3.59/1.16 ($product_int(x,$product_int(x,$sum_int($product_int(a,-2427),$product_int(6472,$sum_int($sum_int(y,$product_int(a,-166)),$product_int(y,16332066112)))))) != 0),
% 3.59/1.16 inference(demodulation,[status(thm)],[c_7542,c_1155,c_7169])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7544,plain,
% 3.59/1.16 ($product_int(x,$product_int(x,$sum_int($product_int(a,-2427),$product_int(6472,$sum_int(y,$sum_int($product_int(y,16332066112),$product_int(a,-166))))))) != 0),
% 3.59/1.16 inference(theory_normalisation,
% 3.59/1.16 [status(thm)],
% 3.59/1.16 [c_7543,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7545,plain,
% 3.59/1.16 ($product_int(x,$product_int(x,$sum_int($product_int(a,-2427),$product_int(6472,$product_int(y,$sum_int(1,$sum_int(16332066112,$product_int(98164184,-166)))))))) != 0),
% 3.59/1.16 inference(demodulation,[status(thm)],[c_7544,c_1132,c_6807])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7546,plain,
% 3.59/1.16 ($product_int(x,$product_int(x,$sum_int($product_int(a,-2427),$product_int(y,$product_int(6472,$sum_int(1,$sum_int(16332066112,$product_int(98164184,-166)))))))) != 0),
% 3.59/1.16 inference(theory_normalisation,
% 3.59/1.16 [status(thm)],
% 3.59/1.16 [c_7545,c_65,c_66,c_54,c_55])).
% 3.59/1.16
% 3.59/1.16 cnf(c_7547,plain,
% 3.59/1.16 ($product_int(x,$product_int(x,$product_int(y,$sum_int($product_int(98164184,-2427),$product_int(6472,$sum_int(1,$sum_int(16332066112,$product_int(98164184,-166)))))))) != 0),
% 3.59/1.16 inference(demodulation,[status(thm)],[c_7546,c_6804])).
% 3.59/1.16
% 3.59/1.16 cnf(c_11189,plain,
% 3.59/1.16 ($sum_int(X0_3,$sum_int(X1_3,$product_int(X0_3,X2_3))) = $sum_int(X1_3,$product_int(X0_3,$sum_int(1,X2_3)))),
% 3.59/1.16 inference(superposition,[status(thm)],[c_1132,c_716])).
% 3.59/1.16
% 3.59/1.16 cnf(c_11210,plain,
% 3.59/1.16 ($product_int(x,$product_int(x,$product_int(y,$sum_int(6472,$sum_int($product_int(98164184,-2427),$product_int(6472,$sum_int(16332066112,$product_int(98164184,-166)))))))) != 0),
% 3.59/1.16 inference(demodulation,[status(thm)],[c_7547,c_11189])).
% 3.59/1.16
% 3.59/1.16 cnf(c_11909,plain,
% 3.59/1.16 ($false),
% 3.59/1.16 inference(smt_theory_normalisation,[status(thm)],[c_11210])).
% 3.59/1.16
% 3.59/1.16
% 3.59/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 3.59/1.16
% 3.59/1.16
%------------------------------------------------------------------------------